22504140 has 144 divisors (see below), whose sum is σ = 73032960. Its totient is φ = 5598720.

The previous prime is 22504129. The next prime is 22504159. The reversal of 22504140 is 4140522.

22504140 = T₃₄₁ + T₃₄₂ + ... + T₅₅₈.

22504140 is a `hidden beast` number, since 2 + 250 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206406 + ... + 206514.

Almost surely, 2^22504140 is an apocalyptic number.

22504140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22504140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36516480).

22504140 is an abundant number, since it is smaller than the sum of its proper divisors (50528820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22504140 is a wasteful number, since it uses less digits than its factorization.

22504140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 22504140 is about 4743.8528644974. The cubic root of 22504140 is about 282.3281226654.

Adding to 22504140 its reverse (4140522), we get a palindrome (26644662).

The spelling of 22504140 in words is "twenty-two million, five hundred four thousand, one hundred forty".